How High Must a Satellite Orbit to Remain Geostationary Over Jupiter?

[ookt2c]

Homework Statement

A synchronous satellite, which always remains above the same point on a planet's wquator, is put in orbit around Jupiter to study the famous red spot. Jupiter rotates once every 9.84 h. find the altitude of the satelite

Homework Equations

jupiter: mass in kg 1.90E27,Mean radius 6.99E7,period of revolutions3.74E8,Mean distance from the sun7.78E11 (t^2/R^3)(S^2/M^3)= 2.97E-19

The Attempt at a Solution

I don't know where to start , missed a day of class

 

[Shooting Star]

The force of gravity must be equal to the centripetal force. (But this is true for even if the satellite is not synchronous.)

 

[kdv]

Homework Statement

A synchronous satellite, which always remains above the same point on a planet's wquator, is put in orbit around Jupiter to study the famous red spot. Jupiter rotates once every 9.84 h. find the altitude of the satelite

Homework Equations

jupiter: mass in kg 1.90E27,Mean radius 6.99E7,period of revolutions3.74E8,Mean distance from the sun7.78E11 (t^2/R^3)(S^2/M^3)= 2.97E-19

The Attempt at a Solution

I don't know where to start , missed a day of class

Strictly speaking, this is possible only if the point on th eplanet is at the equator. I don't think that the Red Spot is on th eequator but let's pretend it is.

Then you have to impose that the force of gravity on the satellite is equal to m tiomes the radial acceleration so
F_{grav} = m \frac{v^2}{r}

where "r" is the distance from the satellite to the center of the planet.